System of Equations Word Problems Day 1

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that can be solved together.

Front

What does it mean if a system of equations has one solution?

Back

The lines representing the equations intersect at exactly one point, indicating a unique solution for the variables.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect, indicating that there is no set of values that satisfies both equations.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The lines representing the equations coincide, meaning they are the same line and have an infinite number of intersection points.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and set them equal to each other.

Front

In the equation t + n = 54, what do t and n represent?

Back

t represents the price of the math textbook, and n represents the price of the novel.

Front

What is the significance of the equation t = 3n + 8 in a word problem?

Back

It shows the relationship between the price of the math textbook and the novel, indicating that the textbook costs $8 more than three times the price of the novel.

Front

How can you determine the number of solutions in a system of equations?

Back

By graphing the equations and observing the intersection points, or by analyzing the coefficients and constants in the equations.

Front

What is the first step in solving a system of equations word problem?

Back

Read the problem carefully to identify the variables and the relationships between them.

Front

What does the equation x + y = 15 represent in a word problem about animals?

Back

It represents the total number of animals, where x is the number of horses and y is the number of chickens.